Continuity mistake: When Queeg orders a safety drill on the ship there are two seamen without a helmet. One helmet is being handed through to them, but in the next shot both men are wearing helmets. That Queeg, who should have seen both, wants to punish only one makes this slip complete.
Factual error: In the shot where the three officers ride the aircraft elevator from the hangar deck to the flight deck after arriving aboard the admiral's carrier, you can briefly see some of the aircraft parked on the hangar deck, and they are jet aircraft. The aircraft have pointed noses, no propellers, and the fuselage shape and markings are consistent with first generation Navy carrier jets. These types were not in service until the mid-50s (See "Bridges of Toko-Ri").
Factual error: In the movie's latter part during the trial, when Van Johnson finished testifying he returned to the defense table, and on the wall behind him was a calendar showing all the months of the year. It showed January 1st as a Thursday. According to the movie the trial took place in 1944. In 1944 January 1 was actually on a Saturday, not a Thursday. The actual year on the calendar in the film was 1953 - they clearly used a calendar current for when the movie was filmed.
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